Polynomials

Concept: If is a factor of a polynomial , then by the Factor Theorem:
Step 1: Apply Factor Theorem. Given polynomial: Since is a factor:
Step 2: Substitute .
Step 3: Simplify.
Step 4: Solve for .
Correction Check: Re-evaluating arithmetic: So calculation is correct.
But wait: Factor must give integer root consistency. Re-check substitution carefully: Setting :
Conclusion: The value of is .